On differential rational invariants of finite subgroups of affine group.

Bekbaev, Ural

Displaying similar documents to “On differential rational invariants of finite subgroups of affine group.”

On the structure of some irrotational vector fields.

Bârza, Ilie (2005)

General Mathematics

Similarity:

Field of moduli versus field of definition for cyclic covers of the projective line

Aristides Kontogeorgis (2009)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We give a criterion, based on the automorphism group, for certain cyclic covers of the projective line to be defined over their field of moduli. An example of a cyclic cover of the complex projective line with field of moduli $ℝ$ that can not be defined over $ℝ$ is also given.

Small generators of function fields

Martin Widmer (2010)

Journal de Théorie des Nombres de Bordeaux

Similarity:

Let $𝕂 / k$ be a finite extension of a global field. Such an extension can be generated over $k$ by a single element. The aim of this article is to prove the existence of a ”small” generator in the function field case. This answers the function field version of a question of Ruppert on small generators of number fields.

On the volume of unit vector fields on a compact semisimple Lie group.

Salvai, Marcos (2003)

Journal of Lie Theory

Similarity:

Symbol lengths in Milnor $K$ -theory.

Becher, Karim Johannes, Hoffmann, Detlev W. (2004)

Homology, Homotopy and Applications

Similarity:

Kolmogorov's Zero-One Law

Agnes Doll (2009)

Formalized Mathematics

Similarity:

This article presents the proof of Kolmogorov's zero-one law in probability theory. The independence of a family of σ-fields is defined and basic theorems on it are given.

Explicit construction of integral bases of radical function fields

Qingquan Wu (2010)

Journal de Théorie des Nombres de Bordeaux

Similarity:

We give an explicit construction of an integral basis for a radical function field $K = k (t, ρ)$ , where $ρ^{n} = D \in k [t]$ , under the assumptions $[K : k (t)] = n$ and $c h a r (k) ∤ n$ . The field discriminant of $K$ is also computed. We explain why these questions are substantially easier than the corresponding ones in number fields. Some formulae for the $P$ -signatures of a radical function field are also discussed in this paper.

Dunkl operators and canonical invariants of reflection groups.

Berenstein, Arkady, Burman, Yurii (2009)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Similarity:

On symmetric semialgebraic sets and orbit spaces

Ludwig Bröcker (1998)

Banach Center Publications

Similarity:

For a symmetric (= invariant under the action of a compact Lie group G) semialgebraic basic set C, described by s polynomial inequalities, we show, that C can also be written by s + 1 G-invariant polynomials. We also describe orbit spaces for the action of G by a number of inequalities only depending on the structure of G.